Test the claim about the difference between two population means 1 and 2 at the level of significance . Assume the samples are random andindependent, and the populations are normally distributed.

Claim: 1=2; =0.05. Assume ^21=^22

Samplestatistics:

x1=30.3, s1=3.7, n1=10 and

x2=33.2, s2=2.3, n2=19

(a) Identify the null and alternative hypothesis

(b) Find the standardized test statistic t

(c) Find the P-value

(d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim